137532001 has 2 divisors, whose sum is σ = 137532002. Its totient is φ = 137532000.

The previous prime is 137531981. The next prime is 137532047. The reversal of 137532001 is 100235731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105042001 + 32490000 = 10249^2 + 5700^2 .

It is a cyclic number.

It is not a de Polignac number, because 137532001 - 2¹⁵ = 137499233 is a prime.

It is not a weakly prime, because it can be changed into another prime (137532061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68766000 + 68766001.

It is an arithmetic number, because the mean of its divisors is an integer number (68766001).

Almost surely, 2^137532001 is an apocalyptic number.

It is an amenable number.

137532001 is a deficient number, since it is larger than the sum of its proper divisors (1).

137532001 is an equidigital number, since it uses as much as digits as its factorization.

137532001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 137532001 is about 11727.4038473995. The cubic root of 137532001 is about 516.1800958295.

Adding to 137532001 its reverse (100235731), we get a palindrome (237767732).

The spelling of 137532001 in words is "one hundred thirty-seven million, five hundred thirty-two thousand, one".